9514 1404 393
Answer:
m∠2 = 16° or 25°
Step-by-step explanation:
The sum of angles 1 and 2 is congruent to angle CED.
20° +(x^2)° = (9x)°
x^2 -9x +20 = 0 . . . . . divide by °, put in standard form
(x -5)(x -4) = 0 . . . . . . . factor
x = 5 or 4
m∠2 = (x^2)° = (5^2)° or (4^2)°
m∠2 = 16° or 25°
g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer
- g(x) = x+4
- Therefore the value of k is 4.
Answer:
14 ohms
Step-by-step explanation:
The resistance varies directly with length, so increasing the length by a factor will increase the resistance by the same factor.
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The length of the wire increased by a factor of 1.4 from 100 ft to 140 ft. That means the resistance will increase by a factor of 1.4 from 10 ohms to 14 ohms. (The diameter did not change.)
The longer wire will have a resistance of 14 ohms.
Answer:
14
Step-by-step explanation:
x=4 y=1
Substitute them into the equation 3x-4yy+6
3(4)-4(1)+6
12-4+6
Answer:
In simplest form, it should be:
3:2
6 / 2 = 3
4 / 2 = 2
Hope this helps!
